409744 has 10 divisors (see below), whose sum is σ = 793910. Its totient is φ = 204864.

The previous prime is 409733. The next prime is 409753. The reversal of 409744 is 447904.

409744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 144 = 640^2 + 12^2 .

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12789 + ... + 12820.

It is an arithmetic number, because the mean of its divisors is an integer number (79391).

2⁴⁰⁹⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

409744 is a deficient number, since it is larger than the sum of its proper divisors (384166).

409744 is a wasteful number, since it uses less digits than its factorization.

409744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25617 (or 25611 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 409744 is about 640.1124901140. The cubic root of 409744 is about 74.2741232972.

The spelling of 409744 in words is "four hundred nine thousand, seven hundred forty-four".